← #15634434
Subgroups — #15634434
Order 2816.
1682 conjugacy classes of subgroups.
The subgroup lattice has 680 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #13082424 | C2 | 1 | 2 | yes | maximal |
| 2 | #13081580 | C2 | 1 | 4 | yes | maximal, complemented |
| 3 | #13081545 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | #13081509 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #13081504 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #13081504 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #13081499 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #13079152 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | #13079128 | C2 | 1 | 1 | yes | maximal, characteristic |
| 10 | #13078456 | C2 | 1 | 2 | yes | maximal |
| 11 | #13078452 | C2 | 1 | 2 | yes | maximal |
| 12 | #13078420 | C2 | 1 | 2 | yes | maximal |
| 13 | #13077548 | C2 | 1 | 1 | yes | maximal, characteristic |
| 14 | #13077485 | C2 | 1 | 1 | yes | maximal, characteristic |
| 15 | #13077483 | C2 | 1 | 1 | yes | maximal, characteristic |
| 16 | C2×#10622486 | C2 | 1 | 1 | yes | maximal, characteristic |
| 17 | C11×#3164 | C2 | 1 | 1 | yes | maximal, characteristic |
| 18 | C11×#544 | C22 | 1 | 2 | yes | — |
| 19 | C22×Dic44 | C22 | 1 | 1 | yes | characteristic |
| 20 | #10623253 | — | 2 | 2 | no | — |
| 21 | #10623253 | C22 | 1 | 4 | yes | — |
| 22 | #10623252 | — | 2 | 2 | no | — |
| 23 | #10623252 | C22 | 1 | 4 | yes | — |
| 24 | #10623216 | — | 2 | 2 | no | — |
| 25 | #10623216 | — | 2 | 2 | no | — |
| 26 | #10623216 | C22 | 1 | 4 | yes | — |
| 27 | #10623216 | C22 | 1 | 4 | yes | — |
| 28 | #10623154 | — | 2 | 4 | no | — |
| 29 | #10623153 | — | 2 | 4 | no | — |
| 30 | #10623048 | C22 | 1 | 2 | yes | — |
| 31 | #10623048 | C22 | 1 | 1 | yes | characteristic |
| 32 | #10623047 | C22 | 1 | 2 | yes | — |
| 33 | #10623047 | C22 | 1 | 2 | yes | — |
| 34 | #10623031 | C22 | 1 | 2 | yes | — |
| 35 | C2×#66940 | C22 | 1 | 2 | yes | — |
| 36 | C11×#501 | C22 | 1 | 4 | yes | — |
| 37 | C11×#500 | C22 | 1 | 2 | yes | — |
| 38 | C11×#499 | C22 | 1 | 2 | yes | — |
| 39 | C11×#428 | C22 | 1 | 2 | yes | — |
| 40 | C11×#427 | C22 | 1 | 1 | yes | characteristic |
| 41 | C2×C11×#107 | C22 | 1 | 1 | yes | characteristic |
| 42 | C11×#405 | C22 | 1 | 1 | yes | characteristic |
| 43 | #10622733 | C22 | 1 | 2 | yes | — |
| 44 | #10622732 | C22 | 1 | 1 | yes | characteristic |
| 45 | #10622731 | C22 | 1 | 1 | yes | characteristic |
| 46 | #10622719 | C22 | 1 | 1 | yes | characteristic |
| 47 | #10622714 | C22 | 1 | 1 | yes | characteristic |
| 48 | C2×C8×Dic11 | C22 | 1 | 1 | yes | characteristic |
| 49 | #10622707 | C22 | 1 | 4 | yes | — |
| 50 | #10622704 | C22 | 1 | 4 | yes | — |
| 51 | #10622676 | C22 | 1 | 4 | yes | — |
| 52 | #10622676 | C22 | 1 | 4 | yes | — |
| 53 | #10622617 | C22 | 1 | 2 | yes | — |
| 54 | #10622612 | C22 | 1 | 1 | yes | characteristic |
| 55 | #10622611 | C22 | 1 | 2 | yes | — |
| 56 | C2×#66874 | C22 | 1 | 2 | yes | — |
| 57 | #10622577 | C22 | 1 | 2 | yes | — |
| 58 | #10622491 | C22 | 1 | 1 | yes | characteristic |
| 59 | #10622491 | C22 | 1 | 1 | yes | characteristic |
| 60 | #10622491 | C22 | 1 | 2 | yes | — |
| 61 | #10622490 | C22 | 1 | 4 | yes | — |
| 62 | #10622490 | C22 | 1 | 4 | yes | — |
| 63 | #10622489 | C22 | 1 | 4 | yes | — |
| 64 | #10622488 | C22 | 1 | 4 | yes | — |
| 65 | #10622488 | C22 | 1 | 4 | yes | — |
| 66 | #10622487 | C22 | 1 | 1 | yes | characteristic |
| 67 | #10622487 | C22 | 1 | 1 | yes | characteristic |
| 68 | #10622487 | C22 | 1 | 2 | yes | — |
| 69 | #10622486 | C22 | 1 | 2 | yes | — |
| 70 | #10622486 | C22 | 1 | 2 | yes | — |
| 71 | #10622486 | C22 | 1 | 2 | yes | — |
| 72 | #10622486 | C22 | 1 | 2 | yes | — |
| 73 | #10622486 | C22 | 1 | 2 | yes | — |
| 74 | #10622486 | C22 | 1 | 2 | yes | — |
| 75 | #10622471 | C22 | 1 | 2 | yes | — |
| 76 | #10622470 | C22 | 1 | 4 | yes | — |
| 77 | #10622470 | C22 | 1 | 4 | yes | — |
| 78 | #10622468 | C22 | 1 | 2 | yes | — |
| 79 | #10622467 | C22 | 1 | 4 | yes | — |
| 80 | #10622467 | C22 | 1 | 4 | yes | — |
| 81 | #10622466 | C22 | 1 | 4 | yes | — |
| 82 | #10622329 | C22 | 1 | 4 | yes | — |
| 83 | #10622314 | C22 | 1 | 2 | yes | — |
| 84 | #10622314 | C22 | 1 | 2 | yes | — |
| 85 | C4×Dic44 | C22 | 1 | 2 | yes | — |
| 86 | C4×Dic44 | C22 | 1 | 2 | yes | — |
| 87 | C8×Dic22 | C22 | 1 | 2 | yes | — |
| 88 | C8×Dic22 | C22 | 1 | 2 | yes | — |
| 89 | C22×Dic22 | C23 | 1 | 2 | yes | — |
| 90 | C2×C11×M16 | C23 | 1 | 1 | yes | characteristic |
| 91 | C22×C8×C11 | C23 | 1 | 1 | yes | characteristic |
| 92 | C11×C4⋊Q8 | — | 2 | 2 | no | — |
| 93 | C11×C4⋊Q8 | C23 | 1 | 4 | yes | — |
| 94 | C11×#125 | — | 2 | 2 | no | — |
| 95 | C11×#125 | C23 | 1 | 4 | yes | — |
| 96 | C11×C22⋊Q8 | — | 2 | 4 | no | — |
| 97 | C11×#117 | C23 | 1 | 2 | yes | — |
| 98 | C11×#117 | C23 | 1 | 1 | yes | characteristic |
| 99 | C2×C11×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 100 | Q8×Dic11 | — | 2 | 4 | no | — |
| 101 | #66997 | — | 2 | 4 | no | — |
| 102 | #66997 | — | 2 | 4 | no | — |
| 103 | #66997 | — | 2 | 4 | no | — |
| 104 | #66979 | C23 | 1 | 2 | yes | — |
| 105 | #66979 | C23 | 1 | 1 | yes | characteristic |
| 106 | #66977 | — | 2 | 4 | no | — |
| 107 | C2×Dic11⋊C4 | — | 2 | 2 | no | — |
| 108 | C2×C4×Dic11 | — | 2 | 2 | no | — |
| 109 | C2×C4×Dic11 | C23 | 1 | 1 | yes | characteristic |
| 110 | C2×#4318 | C23 | 1 | 1 | yes | characteristic |
| 111 | C22×C11⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 112 | C2×Dic44 | Q8 | 1 | 8 | yes | complemented |
| 113 | C2×Dic44 | C23 | 1 | 2 | yes | — |
| 114 | C2×Dic44 | C23 | 1 | 2 | yes | — |
| 115 | #66943 | — | 2 | 2 | no | — |
| 116 | #66943 | D4 | 1 | 1 | yes | characteristic |
| 117 | #66943 | D4 | 1 | 1 | yes | characteristic |
| 118 | #66943 | C23 | 1 | 2 | yes | — |
| 119 | #66943 | C23 | 1 | 4 | yes | — |
| 120 | #66943 | C23 | 1 | 2 | yes | — |
| 121 | #66942 | — | 2 | 4 | no | — |
| 122 | #66942 | — | 2 | 4 | no | — |
| 123 | #66942 | — | 2 | 4 | no | — |
| 124 | #66942 | — | 2 | 4 | no | — |
| 125 | #66942 | — | 2 | 4 | no | — |
| 126 | #66942 | — | 2 | 4 | no | — |
| 127 | #66941 | — | 2 | 4 | no | — |
| 128 | #66941 | — | 2 | 4 | no | — |
| 129 | #66941 | — | 2 | 2 | no | — |
| 130 | #66941 | — | 2 | 4 | no | — |
| 131 | #66941 | D4 | 1 | 1 | yes | characteristic |
| 132 | #66941 | D4 | 1 | 1 | yes | characteristic |
| 133 | #66941 | C23 | 1 | 2 | yes | — |
| 134 | #66941 | C23 | 1 | 4 | yes | — |
| 135 | #66941 | C23 | 1 | 2 | yes | — |
| 136 | #66940 | — | 2 | 4 | no | — |
| 137 | #66940 | — | 2 | 2 | no | — |
| 138 | #66940 | — | 2 | 2 | no | — |
| 139 | #66940 | — | 2 | 4 | no | — |
| 140 | #66940 | — | 2 | 4 | no | — |
| 141 | #66940 | — | 2 | 2 | no | — |
| 142 | #66940 | — | 2 | 2 | no | — |
| 143 | #66940 | C23 | 1 | 4 | yes | — |
| 144 | #66940 | C23 | 1 | 4 | yes | — |
| 145 | #66940 | C23 | 1 | 4 | yes | — |
| 146 | #66940 | C23 | 1 | 4 | yes | — |
| 147 | #66931 | — | 2 | 2 | no | — |
| 148 | #66931 | — | 2 | 2 | no | — |
| 149 | #66931 | D4 | 1 | 2 | yes | — |
| 150 | #66931 | D4 | 1 | 2 | yes | — |
| 151 | #66930 | — | 2 | 4 | no | — |
| 152 | #66930 | — | 2 | 4 | no | — |
| 153 | C4×Dic22 | — | 2 | 2 | no | — |
| 154 | C4×Dic22 | — | 2 | 2 | no | — |
| 155 | C4×Dic22 | — | 2 | 2 | no | — |
| 156 | C4×Dic22 | — | 2 | 2 | no | — |
| 157 | C4×Dic22 | C23 | 1 | 4 | yes | — |
| 158 | C4×Dic22 | C23 | 1 | 4 | yes | — |
| 159 | C4×Dic22 | C23 | 1 | 2 | yes | — |
| 160 | C4×Dic22 | C23 | 1 | 2 | yes | — |
| 161 | C11×#107 | C23 | 1 | 1 | yes | characteristic |
| 162 | C11×#107 | C23 | 1 | 2 | yes | — |
| 163 | C11×#107 | C23 | 1 | 1 | yes | characteristic |
| 164 | C11×#107 | C23 | 1 | 4 | yes | — |
| 165 | C11×#107 | C23 | 1 | 2 | yes | — |
| 166 | C11×#106 | C23 | 1 | 2 | yes | — |
| 167 | C11×#106 | C23 | 1 | 4 | yes | — |
| 168 | C11×#97 | C23 | 1 | 2 | yes | — |
| 169 | C4×C8×C11 | C23 | 1 | 2 | yes | — |
| 170 | #66882 | C23 | 1 | 1 | yes | characteristic |
| 171 | #66882 | C23 | 1 | 1 | yes | characteristic |
| 172 | #66881 | C23 | 1 | 2 | yes | — |
| 173 | #66880 | C23 | 1 | 4 | yes | — |
| 174 | #66880 | C23 | 1 | 4 | yes | — |
| 175 | #66879 | C23 | 1 | 2 | yes | — |
| 176 | Dic11⋊C8 | C23 | 1 | 2 | yes | — |
| 177 | Dic11⋊C8 | C23 | 1 | 2 | yes | — |
| 178 | Dic11⋊C8 | C23 | 1 | 2 | yes | — |
| 179 | Dic11⋊C8 | C23 | 1 | 2 | yes | — |
| 180 | C8×Dic11 | C23 | 1 | 1 | yes | characteristic |
| 181 | C8×Dic11 | C23 | 1 | 1 | yes | characteristic |
| 182 | C8×Dic11 | C23 | 1 | 1 | yes | characteristic |
| 183 | C8×Dic11 | C23 | 1 | 2 | yes | — |
| 184 | C8×Dic11 | C23 | 1 | 1 | yes | characteristic |
| 185 | #66874 | C23 | 1 | 4 | yes | — |
| 186 | #66874 | C23 | 1 | 4 | yes | — |
| 187 | #66874 | C23 | 1 | 4 | yes | — |
| 188 | #66874 | C23 | 1 | 4 | yes | — |
| 189 | #66872 | C23 | 1 | 2 | yes | — |
| 190 | #66872 | C23 | 1 | 4 | yes | — |
| 191 | #66872 | C23 | 1 | 2 | yes | — |
| 192 | #66871 | C23 | 1 | 2 | yes | — |
| 193 | #66871 | C23 | 1 | 4 | yes | — |
| 194 | #66871 | C23 | 1 | 2 | yes | — |
| 195 | C4⋊(C11⋊C8) | C23 | 1 | 2 | yes | — |
| 196 | C4⋊(C11⋊C8) | C23 | 1 | 2 | yes | — |
| 197 | #61372 | — | 11 | 1 | no | maximal, Sylow |
| 198 | C2×Q8×C11 | — | 2 | 4 | no | — |
| 199 | C22×C4×C11 | — | 2 | 2 | no | — |
| 200 | C22×C4×C11 | C24 | 1 | 1 | yes | characteristic |
| 201 | C22×Dic11 | — | 2 | 2 | no | — |
| 202 | C22×Dic11 | C2×D4 | 1 | 1 | yes | characteristic |
| 203 | C22×Dic11 | C2×D4 | 1 | 1 | yes | characteristic |
| 204 | C2×Dic22 | — | 2 | 2 | no | — |
| 205 | C2×Dic22 | — | 2 | 2 | no | — |
| 206 | C2×Dic22 | — | 2 | 4 | no | — |
| 207 | C2×Dic22 | — | 2 | 2 | no | — |
| 208 | C2×Dic22 | — | 2 | 4 | no | — |
| 209 | C2×Dic22 | C2×D4 | 1 | 2 | yes | — |
| 210 | C2×Dic22 | C2×D4 | 1 | 2 | yes | — |
| 211 | C2×Dic22 | C2×Q8 | 1 | 8 | yes | — |
| 212 | C2×Dic22 | C24 | 1 | 4 | yes | — |
| 213 | C11×M16 | — | 2 | 2 | no | — |
| 214 | C2×C8×C11 | C2×Q8 | 1 | 4 | yes | — |
| 215 | C2×C8×C11 | C24 | 1 | 2 | yes | — |
| 216 | C2×C8×C11 | C24 | 1 | 1 | yes | characteristic |
| 217 | C2×C8×C11 | C24 | 1 | 1 | yes | characteristic |
| 218 | C11×C4⋊C4 | — | 2 | 2 | no | — |
| 219 | C11×C4⋊C4 | — | 2 | 4 | no | — |
| 220 | C11×C4⋊C4 | — | 2 | 4 | no | — |
| 221 | C11×C4⋊C4 | — | 2 | 4 | no | — |
| 222 | C11×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 223 | C11×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 224 | C11×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 225 | C11×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 226 | C11×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 227 | C11×C22⋊C4 | — | 2 | 2 | no | — |
| 228 | C11×C22⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 229 | C42×C11 | — | 2 | 2 | no | — |
| 230 | C42×C11 | C24 | 1 | 2 | yes | — |
| 231 | C22⋊Dic11 | — | 2 | 2 | no | — |
| 232 | C22⋊Dic11 | C2×D4 | 1 | 2 | yes | — |
| 233 | C4⋊Dic11 | — | 2 | 2 | no | — |
| 234 | C4⋊Dic11 | — | 2 | 2 | no | — |
| 235 | C4⋊Dic11 | — | 2 | 4 | no | — |
| 236 | C4⋊Dic11 | C2×D4 | 1 | 1 | yes | characteristic |
| 237 | C4⋊Dic11 | C2×D4 | 1 | 1 | yes | characteristic |
| 238 | C4⋊Dic11 | C2×D4 | 1 | 2 | yes | — |
| 239 | C4⋊Dic11 | C2×D4 | 1 | 2 | yes | — |
| 240 | C4⋊Dic11 | C24 | 1 | 2 | yes | — |
| 241 | C4⋊Dic11 | C24 | 1 | 2 | yes | — |
| 242 | Dic11⋊C4 | — | 2 | 4 | no | — |
| 243 | Dic11⋊C4 | — | 2 | 4 | no | — |
| 244 | Dic11⋊C4 | — | 2 | 2 | no | — |
| 245 | Dic11⋊C4 | — | 2 | 2 | no | — |
| 246 | Dic11⋊C4 | — | 2 | 2 | no | — |
| 247 | Dic11⋊C4 | — | 2 | 2 | no | — |
| 248 | Dic11⋊C4 | — | 2 | 4 | no | — |
| 249 | Dic11⋊C4 | — | 2 | 4 | no | — |
| 250 | Dic11⋊C4 | — | 2 | 4 | no | — |
| 251 | Dic11⋊C4 | — | 2 | 4 | no | — |
| 252 | Dic11⋊C4 | — | 2 | 4 | no | — |
| 253 | Dic11⋊C4 | — | 2 | 4 | no | — |
| 254 | Dic11⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 255 | Dic11⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 256 | Dic11⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 257 | Dic11⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 258 | C4×Dic11 | — | 2 | 4 | no | — |
| 259 | C4×Dic11 | — | 2 | 4 | no | — |
| 260 | C4×Dic11 | — | 2 | 4 | no | — |
| 261 | C4×Dic11 | — | 2 | 4 | no | — |
| 262 | C4×Dic11 | — | 2 | 2 | no | — |
| 263 | C4×Dic11 | — | 2 | 4 | no | — |
| 264 | C4×Dic11 | — | 2 | 4 | no | — |
| 265 | C4×Dic11 | C2×D4 | 1 | 1 | yes | characteristic |
| 266 | C4×Dic11 | C2×D4 | 1 | 1 | yes | characteristic |
| 267 | C4×Dic11 | C24 | 1 | 1 | yes | characteristic |
| 268 | C4×Dic11 | C24 | 1 | 1 | yes | characteristic |
| 269 | C4×Dic11 | C24 | 1 | 2 | yes | — |
| 270 | #4318 | — | 2 | 2 | no | — |
| 271 | C2×C11⋊C8 | — | 2 | 2 | no | — |
| 272 | C2×C11⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 273 | C2×C11⋊C8 | C24 | 1 | 2 | yes | — |
| 274 | C2×C11⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 275 | Dic44 | C2×Q8 | 1 | 8 | yes | — |
| 276 | Dic44 | C2×Q8 | 1 | 8 | yes | — |
| 277 | #3502 | — | 11 | 2 | no | — |
| 278 | #3390 | — | 11 | 4 | no | — |
| 279 | #3387 | — | 11 | 4 | no | — |
| 280 | #3383 | — | 11 | 2 | no | — |
| 281 | #3383 | — | 11 | 2 | no | — |
| 282 | #3383 | — | 11 | 2 | no | — |
| 283 | Q8×Q16 | — | 11 | 2 | no | — |
| 284 | #3164 | — | 11 | 1 | no | — |
| 285 | #3164 | D11 | 1 | 1 | yes | characteristic |
| 286 | #3160 | — | 11 | 1 | no | — |
| 287 | #3082 | — | 11 | 2 | no | — |
| 288 | #3082 | — | 11 | 2 | no | — |
| 289 | #3078 | — | 11 | 2 | no | — |
| 290 | #2960 | — | 11 | 1 | no | — |
| 291 | #2950 | — | 11 | 1 | no | — |
| 292 | #2950 | — | 11 | 1 | no | — |
| 293 | C2×C4×Q16 | — | 11 | 1 | no | — |
| 294 | C23×C11 | C22×D4 | 1 | 1 | yes | characteristic |
| 295 | Q8×C11 | — | 8 | 4 | no | — |
| 296 | C2×C4×C11 | — | 2 | 2 | no | — |
| 297 | C2×C4×C11 | — | 2 | 2 | no | — |
| 298 | C2×C4×C11 | — | 2 | 4 | no | — |
| 299 | C2×C4×C11 | — | 8 | 2 | no | — |
| 300 | C2×C4×C11 | C22×D4 | 1 | 2 | yes | — |
| 301 | C2×C4×C11 | C22×D4 | 1 | 2 | yes | — |
| 302 | C2×C4×C11 | C22×D4 | 1 | 1 | yes | characteristic |
| 303 | C2×C4×C11 | C22×Q8 | 1 | 2 | yes | — |
| 304 | C2×C4×C11 | 2−1+4 | 1 | 2 | yes | — |
| 305 | C2×C4×C11 | C25 | 1 | 1 | yes | characteristic |
| 306 | C2×Dic11 | — | 2 | 8 | no | — |
| 307 | C2×Dic11 | — | 2 | 4 | no | — |
| 308 | C2×Dic11 | — | 2 | 2 | no | — |
| 309 | C2×Dic11 | — | 2 | 2 | no | — |
| 310 | C2×Dic11 | — | 2 | 2 | no | — |
| 311 | C2×Dic11 | — | 4 | 1 | no | — |
| 312 | C2×Dic11 | C22×D4 | 1 | 1 | yes | characteristic |
| 313 | C2×Dic11 | C22×D4 | 1 | 2 | yes | — |
| 314 | C2×Dic11 | C22×D4 | 1 | 2 | yes | — |
| 315 | C2×Dic11 | C22×D4 | 1 | 1 | yes | characteristic |
| 316 | C2×Dic11 | C22×D4 | 1 | 1 | yes | characteristic |
| 317 | C2×Dic11 | C22×D4 | 1 | 1 | yes | characteristic |
| 318 | Dic22 | — | 2 | 8 | no | — |
| 319 | Dic22 | — | 2 | 4 | no | — |
| 320 | Dic22 | — | 2 | 4 | no | — |
| 321 | Dic22 | — | 4 | 2 | no | — |
| 322 | Dic22 | — | 4 | 4 | no | — |
| 323 | Dic22 | — | 8 | 4 | no | — |
| 324 | Dic22 | — | 8 | 2 | no | — |
| 325 | Dic22 | C22×Q8 | 1 | 8 | yes | — |
| 326 | C8×C11 | — | 2 | 2 | no | — |
| 327 | C8×C11 | C22×Q8 | 1 | 2 | yes | — |
| 328 | C8×C11 | C22×Q8 | 1 | 2 | yes | — |
| 329 | C11⋊C8 | — | 2 | 1 | no | — |
| 330 | C11⋊C8 | — | 2 | 1 | no | — |
| 331 | C11⋊C8 | — | 2 | 2 | no | — |
| 332 | C22×Q16 | — | 11 | 1 | no | — |
| 333 | Q82 | — | 11 | 4 | no | — |
| 334 | Q82 | — | 22 | 2 | no | — |
| 335 | #557 | — | 11 | 4 | no | — |
| 336 | #557 | — | 11 | 4 | no | — |
| 337 | #557 | — | 11 | 4 | no | — |
| 338 | #557 | — | 22 | 2 | no | — |
| 339 | #557 | — | 22 | 2 | no | — |
| 340 | #557 | — | 22 | 2 | no | — |
| 341 | #544 | — | 11 | 2 | no | — |
| 342 | #544 | — | 22 | 4 | no | — |
| 343 | #544 | C2×D11 | 1 | 2 | yes | — |
| 344 | #533 | — | 11 | 2 | no | — |
| 345 | #533 | — | 11 | 1 | no | — |
| 346 | #533 | — | 22 | 4 | no | — |
| 347 | #519 | — | 11 | 2 | no | — |
| 348 | #519 | — | 11 | 2 | no | — |
| 349 | C2×C4×Q8 | — | 11 | 2 | no | — |
| 350 | #501 | — | 11 | 4 | no | — |
| 351 | #501 | C2×D11 | 1 | 4 | yes | — |
| 352 | #500 | — | 11 | 1 | no | — |
| 353 | #500 | — | 11 | 2 | no | — |
| 354 | #500 | — | 11 | 1 | no | — |
| 355 | #500 | C2×D11 | 1 | 2 | yes | — |
| 356 | #499 | — | 11 | 1 | no | — |
| 357 | #499 | — | 11 | 1 | no | — |
| 358 | #499 | — | 11 | 2 | no | — |
| 359 | #499 | — | 11 | 2 | no | — |
| 360 | #499 | C2×D11 | 1 | 2 | yes | — |
| 361 | #498 | — | 11 | 2 | no | — |
| 362 | #479 | — | 11 | 4 | no | — |
| 363 | #479 | — | 11 | 4 | no | — |
| 364 | #479 | — | 11 | 4 | no | — |
| 365 | #479 | — | 11 | 4 | no | — |
| 366 | #479 | — | 11 | 4 | no | — |
| 367 | #479 | — | 11 | 4 | no | — |
| 368 | #477 | — | 11 | 4 | no | — |
| 369 | #477 | — | 11 | 4 | no | — |
| 370 | #477 | — | 11 | 4 | no | — |
| 371 | #475 | — | 11 | 4 | no | — |
| 372 | #475 | — | 11 | 4 | no | — |
| 373 | #475 | — | 11 | 4 | no | — |
| 374 | #446 | — | 11 | 2 | no | — |
| 375 | #446 | — | 11 | 2 | no | — |
| 376 | C8×Q8 | — | 11 | 2 | no | — |
| 377 | C8×Q8 | — | 11 | 2 | no | — |
| 378 | #441 | — | 11 | 4 | no | — |
| 379 | #441 | — | 11 | 4 | no | — |
| 380 | C4×Q16 | — | 11 | 2 | no | — |
| 381 | C4×Q16 | — | 11 | 2 | no | — |
| 382 | C4×Q16 | — | 11 | 2 | no | — |
| 383 | C4×Q16 | — | 11 | 2 | no | — |
| 384 | C4×Q16 | — | 11 | 2 | no | — |
| 385 | C4×Q16 | — | 11 | 2 | no | — |
| 386 | C4×Q16 | — | 11 | 2 | no | — |
| 387 | C4×Q16 | — | 11 | 2 | no | — |
| 388 | #428 | — | 11 | 2 | no | — |
| 389 | #428 | C2×D11 | 1 | 2 | yes | — |
| 390 | #427 | — | 11 | 1 | no | — |
| 391 | #427 | — | 11 | 2 | no | — |
| 392 | #427 | C2×D11 | 1 | 1 | yes | characteristic |
| 393 | C2×#107 | C2×D11 | 1 | 1 | yes | characteristic |
| 394 | #424 | — | 11 | 1 | no | — |
| 395 | #424 | — | 11 | 1 | no | — |
| 396 | #423 | — | 11 | 1 | no | — |
| 397 | #419 | — | 11 | 2 | no | — |
| 398 | #419 | — | 11 | 2 | no | — |
| 399 | C2×#103 | — | 11 | 2 | no | — |
| 400 | #405 | — | 11 | 1 | no | — |
| 401 | #405 | C2×D11 | 1 | 1 | yes | characteristic |
| 402 | C2×C4×C8 | — | 11 | 1 | no | — |
| 403 | C22×C11 | — | 2 | 1 | no | — |
| 404 | C22×C11 | — | 2 | 1 | no | — |
| 405 | C22×C11 | D4×Q8 | 1 | 2 | yes | — |
| 406 | C22×C11 | C23×D4 | 1 | 1 | yes | characteristic |
| 407 | C4×C11 | — | 2 | 2 | no | — |
| 408 | C4×C11 | — | 2 | 2 | no | — |
| 409 | C4×C11 | — | 4 | 4 | no | — |
| 410 | C4×C11 | — | 4 | 2 | no | — |
| 411 | C4×C11 | — | 4 | 2 | no | — |
| 412 | C4×C11 | D4×Q8 | 1 | 2 | yes | — |
| 413 | C4×C11 | C23×Q8 | 1 | 1 | yes | characteristic |
| 414 | C4×C11 | C2×2−1+4 | 1 | 1 | yes | characteristic |
| 415 | Dic11 | — | 2 | 1 | no | — |
| 416 | Dic11 | — | 2 | 2 | no | — |
| 417 | Dic11 | — | 2 | 1 | no | — |
| 418 | Dic11 | — | 2 | 8 | no | — |
| 419 | Dic11 | — | 2 | 2 | no | — |
| 420 | Dic11 | — | 2 | 1 | no | — |
| 421 | Dic11 | — | 4 | 2 | no | — |
| 422 | Dic11 | — | 4 | 2 | no | — |
| 423 | Dic11 | #578 | 1 | 2 | yes | — |
| 424 | C22×Q8 | — | 11 | 2 | no | — |
| 425 | C2×Q16 | — | 11 | 8 | no | — |
| 426 | C2×Q16 | — | 11 | 2 | no | — |
| 427 | C2×Q16 | — | 11 | 2 | no | — |
| 428 | C2×M16 | — | 11 | 1 | no | — |
| 429 | C2×M16 | C22×D11 | 1 | 1 | yes | characteristic |
| 430 | C22×C8 | — | 11 | 1 | no | — |
| 431 | C22×C8 | C22×D11 | 1 | 1 | yes | characteristic |
| 432 | C4⋊Q8 | — | 2 | 2 | no | — |
| 433 | C4⋊Q8 | — | 11 | 1 | no | — |
| 434 | C4⋊Q8 | — | 11 | 1 | no | — |
| 435 | C4⋊Q8 | — | 11 | 2 | no | — |
| 436 | C4⋊Q8 | — | 11 | 2 | no | — |
| 437 | C4⋊Q8 | — | 11 | 4 | no | — |
| 438 | C4⋊Q8 | — | 22 | 2 | no | — |
| 439 | C4⋊Q8 | — | 22 | 4 | no | — |
| 440 | C4⋊Q8 | — | 22 | 4 | no | — |
| 441 | C4⋊Q8 | — | 22 | 4 | no | — |
| 442 | C4⋊Q8 | — | 22 | 4 | no | — |
| 443 | C4⋊Q8 | — | 22 | 4 | no | — |
| 444 | C4⋊Q8 | — | 22 | 4 | no | — |
| 445 | C4⋊Q8 | C22×D11 | 1 | 4 | yes | — |
| 446 | #125 | — | 2 | 2 | no | — |
| 447 | #125 | — | 11 | 1 | no | — |
| 448 | #125 | — | 11 | 1 | no | — |
| 449 | #125 | — | 11 | 2 | no | — |
| 450 | #125 | — | 11 | 2 | no | — |
| 451 | #125 | — | 11 | 4 | no | — |
| 452 | #125 | — | 22 | 4 | no | — |
| 453 | #125 | — | 22 | 4 | no | — |
| 454 | #125 | — | 22 | 2 | no | — |
| 455 | #125 | — | 22 | 4 | no | — |
| 456 | #125 | — | 22 | 4 | no | — |
| 457 | #125 | — | 22 | 4 | no | — |
| 458 | #125 | — | 22 | 4 | no | — |
| 459 | #125 | C22×D11 | 1 | 4 | yes | — |
| 460 | C22⋊Q8 | — | 2 | 4 | no | — |
| 461 | C22⋊Q8 | — | 11 | 2 | no | — |
| 462 | C22⋊Q8 | — | 11 | 2 | no | — |
| 463 | C22⋊Q8 | — | 22 | 2 | no | — |
| 464 | C22⋊Q8 | — | 22 | 2 | no | — |
| 465 | C22⋊Q8 | — | 22 | 4 | no | — |
| 466 | C4×Q8 | — | 11 | 2 | no | — |
| 467 | C4×Q8 | — | 11 | 2 | no | — |
| 468 | C4×Q8 | — | 11 | 4 | no | — |
| 469 | C4×Q8 | — | 11 | 4 | no | — |
| 470 | C4×Q8 | — | 11 | 4 | no | — |
| 471 | C4×Q8 | — | 11 | 4 | no | — |
| 472 | C4×Q8 | — | 11 | 4 | no | — |
| 473 | C4×Q8 | — | 11 | 4 | no | — |
| 474 | C4×Q8 | — | 22 | 2 | no | — |
| 475 | C4×Q8 | — | 22 | 2 | no | — |
| 476 | C4×Q8 | — | 22 | 2 | no | — |
| 477 | C4×Q8 | — | 22 | 2 | no | — |
| 478 | C4×Q8 | — | 22 | 2 | no | — |
| 479 | C4×Q8 | — | 22 | 2 | no | — |
| 480 | C4×Q8 | — | 22 | 4 | no | — |
| 481 | C4×Q8 | — | 22 | 4 | no | — |
| 482 | C4×Q8 | — | 22 | 4 | no | — |
| 483 | C4×Q8 | — | 22 | 4 | no | — |
| 484 | C4×Q8 | — | 22 | 2 | no | — |
| 485 | C4×Q8 | — | 22 | 2 | no | — |
| 486 | #117 | — | 11 | 1 | no | — |
| 487 | #117 | — | 11 | 2 | no | — |
| 488 | #117 | — | 22 | 4 | no | — |
| 489 | #117 | — | 22 | 4 | no | — |
| 490 | #117 | C22×D11 | 1 | 2 | yes | — |
| 491 | #117 | C22×D11 | 1 | 1 | yes | characteristic |
| 492 | C2×C4⋊C4 | — | 22 | 2 | no | — |
| 493 | C2×C4⋊C4 | C22×D11 | 1 | 2 | yes | — |
| 494 | C2×C42 | — | 11 | 1 | no | — |
| 495 | C2×C42 | — | 22 | 2 | no | — |
| 496 | #107 | — | 11 | 1 | no | — |
| 497 | #107 | — | 11 | 1 | no | — |
| 498 | #107 | — | 11 | 2 | no | — |
| 499 | #107 | — | 11 | 2 | no | — |
| 500 | #107 | — | 11 | 4 | no | — |
| 501 | #107 | C22×D11 | 1 | 2 | yes | — |
| 502 | #107 | C22×D11 | 1 | 2 | yes | — |
| 503 | #107 | C22×D11 | 1 | 1 | yes | characteristic |
| 504 | #107 | C22×D11 | 1 | 1 | yes | characteristic |
| 505 | #107 | C22×D11 | 1 | 4 | yes | — |
| 506 | #106 | — | 11 | 2 | no | — |
| 507 | #106 | — | 11 | 2 | no | — |
| 508 | #106 | — | 11 | 2 | no | — |
| 509 | #106 | — | 11 | 4 | no | — |
| 510 | #106 | C22×D11 | 1 | 2 | yes | — |
| 511 | #106 | C22×D11 | 1 | 4 | yes | — |
| 512 | C4⋊C8 | — | 11 | 2 | no | — |
| 513 | C4⋊C8 | — | 11 | 2 | no | — |
| 514 | C4⋊C8 | — | 11 | 2 | no | — |
| 515 | C4⋊C8 | — | 11 | 2 | no | — |
| 516 | C4⋊C8 | — | 11 | 2 | no | — |
| 517 | C4⋊C8 | — | 11 | 2 | no | — |
| 518 | #103 | — | 11 | 4 | no | — |
| 519 | #103 | — | 11 | 4 | no | — |
| 520 | #103 | — | 11 | 4 | no | — |
| 521 | #103 | — | 11 | 4 | no | — |
| 522 | #103 | — | 11 | 4 | no | — |
| 523 | #103 | — | 11 | 4 | no | — |
| 524 | #97 | — | 11 | 2 | no | — |
| 525 | #97 | C22×D11 | 1 | 2 | yes | — |
| 526 | C4×C8 | — | 11 | 1 | no | — |
| 527 | C4×C8 | — | 11 | 1 | no | — |
| 528 | C4×C8 | — | 11 | 1 | no | — |
| 529 | C4×C8 | — | 11 | 1 | no | — |
| 530 | C4×C8 | — | 11 | 2 | no | — |
| 531 | C4×C8 | C22×D11 | 1 | 2 | yes | — |
| 532 | C2×C11 | — | 2 | 2 | no | — |
| 533 | C2×C11 | C2×D4×Q8 | 1 | 1 | yes | characteristic |
| 534 | C2×C11 | C2×#578 | 1 | 1 | yes | characteristic |
| 535 | C2×C11 | #3584 | 1 | 1 | yes | characteristic |
| 536 | C2×Q8 | — | 2 | 4 | no | — |
| 537 | C2×Q8 | — | 11 | 2 | no | — |
| 538 | C2×Q8 | — | 11 | 2 | no | — |
| 539 | C2×Q8 | — | 11 | 8 | no | — |
| 540 | C2×Q8 | — | 11 | 4 | no | — |
| 541 | C2×Q8 | — | 22 | 2 | no | — |
| 542 | C2×Q8 | — | 22 | 2 | no | — |
| 543 | C2×Q8 | — | 22 | 4 | no | — |
| 544 | C2×Q8 | — | 22 | 2 | no | — |
| 545 | C2×Q8 | — | 22 | 4 | no | — |
| 546 | C22×C4 | — | 2 | 2 | no | — |
| 547 | C22×C4 | — | 11 | 1 | no | — |
| 548 | C22×C4 | — | 11 | 1 | no | — |
| 549 | C22×C4 | — | 22 | 2 | no | — |
| 550 | C22×C4 | C23×D11 | 1 | 1 | yes | characteristic |
| 551 | Q16 | — | 11 | 8 | no | — |
| 552 | Q16 | — | 11 | 8 | no | — |
| 553 | M16 | — | 2 | 2 | no | — |
| 554 | M16 | — | 22 | 2 | no | — |
| 555 | C2×C8 | — | 11 | 1 | no | — |
| 556 | C2×C8 | — | 11 | 1 | no | — |
| 557 | C2×C8 | — | 11 | 2 | no | — |
| 558 | C2×C8 | — | 22 | 2 | no | — |
| 559 | C2×C8 | Q8×D11 | 1 | 4 | yes | — |
| 560 | C2×C8 | C23×D11 | 1 | 2 | yes | — |
| 561 | C2×C8 | C23×D11 | 1 | 1 | yes | characteristic |
| 562 | C2×C8 | C23×D11 | 1 | 1 | yes | characteristic |
| 563 | C4⋊C4 | — | 2 | 2 | no | — |
| 564 | C4⋊C4 | — | 2 | 4 | no | — |
| 565 | C4⋊C4 | — | 2 | 4 | no | — |
| 566 | C4⋊C4 | — | 2 | 4 | no | — |
| 567 | C4⋊C4 | — | 11 | 1 | no | — |
| 568 | C4⋊C4 | — | 11 | 1 | no | — |
| 569 | C4⋊C4 | — | 11 | 2 | no | — |
| 570 | C4⋊C4 | — | 11 | 2 | no | — |
| 571 | C4⋊C4 | — | 11 | 2 | no | — |
| 572 | C4⋊C4 | — | 11 | 2 | no | — |
| 573 | C4⋊C4 | — | 11 | 2 | no | — |
| 574 | C4⋊C4 | — | 11 | 2 | no | — |
| 575 | C4⋊C4 | — | 11 | 2 | no | — |
| 576 | C4⋊C4 | — | 11 | 2 | no | — |
| 577 | C4⋊C4 | — | 22 | 4 | no | — |
| 578 | C4⋊C4 | — | 22 | 4 | no | — |
| 579 | C4⋊C4 | — | 22 | 4 | no | — |
| 580 | C4⋊C4 | — | 22 | 4 | no | — |
| 581 | C4⋊C4 | — | 22 | 2 | no | — |
| 582 | C4⋊C4 | — | 22 | 2 | no | — |
| 583 | C4⋊C4 | — | 22 | 2 | no | — |
| 584 | C4⋊C4 | — | 22 | 4 | no | — |
| 585 | C4⋊C4 | — | 22 | 2 | no | — |
| 586 | C4⋊C4 | — | 22 | 4 | no | — |
| 587 | C4⋊C4 | — | 22 | 2 | no | — |
| 588 | C4⋊C4 | — | 22 | 2 | no | — |
| 589 | C4⋊C4 | — | 22 | 4 | no | — |
| 590 | C4⋊C4 | — | 22 | 4 | no | — |
| 591 | C4⋊C4 | — | 22 | 4 | no | — |
| 592 | C4⋊C4 | D4×D11 | 1 | 1 | yes | characteristic |
| 593 | C4⋊C4 | D4×D11 | 1 | 1 | yes | characteristic |
| 594 | C4⋊C4 | C23×D11 | 1 | 2 | yes | — |
| 595 | C4⋊C4 | C23×D11 | 1 | 4 | yes | — |
| 596 | C4⋊C4 | C23×D11 | 1 | 2 | yes | — |
| 597 | C22⋊C4 | — | 2 | 2 | no | — |
| 598 | C22⋊C4 | — | 11 | 2 | no | — |
| 599 | C22⋊C4 | — | 22 | 2 | no | — |
| 600 | C22⋊C4 | D4×D11 | 1 | 2 | yes | — |
| 601 | C42 | — | 2 | 2 | no | — |
| 602 | C42 | — | 11 | 1 | no | — |
| 603 | C42 | — | 11 | 1 | no | — |
| 604 | C42 | — | 11 | 1 | no | — |
| 605 | C42 | — | 11 | 1 | no | — |
| 606 | C42 | — | 11 | 2 | no | — |
| 607 | C42 | — | 22 | 4 | no | — |
| 608 | C42 | — | 22 | 4 | no | — |
| 609 | C42 | — | 22 | 4 | no | — |
| 610 | C42 | — | 22 | 4 | no | — |
| 611 | C42 | — | 22 | 2 | no | — |
| 612 | C42 | — | 22 | 4 | no | — |
| 613 | C42 | — | 22 | 4 | no | — |
| 614 | C42 | C23×D11 | 1 | 2 | yes | — |
| 615 | C11 | #61372 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 616 | C23 | C2×D4×D11 | 1 | 1 | yes | characteristic |
| 617 | Q8 | — | 8 | 4 | no | — |
| 618 | Q8 | — | 11 | 8 | no | — |
| 619 | Q8 | — | 22 | 4 | no | — |
| 620 | Q8 | — | 22 | 8 | no | — |
| 621 | Q8 | — | 22 | 4 | no | — |
| 622 | Q8 | — | 44 | 2 | no | — |
| 623 | Q8 | — | 44 | 4 | no | — |
| 624 | Q8 | — | 88 | 4 | no | — |
| 625 | Q8 | — | 88 | 2 | no | — |
| 626 | C2×C4 | — | 2 | 2 | no | — |
| 627 | C2×C4 | — | 2 | 2 | no | — |
| 628 | C2×C4 | — | 2 | 4 | no | — |
| 629 | C2×C4 | — | 8 | 2 | no | — |
| 630 | C2×C4 | — | 11 | 1 | no | — |
| 631 | C2×C4 | — | 11 | 1 | no | — |
| 632 | C2×C4 | — | 11 | 1 | no | — |
| 633 | C2×C4 | — | 11 | 1 | no | — |
| 634 | C2×C4 | — | 11 | 2 | no | — |
| 635 | C2×C4 | — | 11 | 2 | no | — |
| 636 | C2×C4 | — | 22 | 2 | no | — |
| 637 | C2×C4 | — | 22 | 8 | no | — |
| 638 | C2×C4 | — | 22 | 4 | no | — |
| 639 | C2×C4 | — | 22 | 2 | no | — |
| 640 | C2×C4 | — | 22 | 2 | no | — |
| 641 | C2×C4 | — | 44 | 1 | no | — |
| 642 | C2×C4 | C2×D4×D11 | 1 | 2 | yes | — |
| 643 | C2×C4 | C2×D4×D11 | 1 | 2 | yes | — |
| 644 | C2×C4 | C2×D4×D11 | 1 | 1 | yes | characteristic |
| 645 | C2×C4 | C2×Q8×D11 | 1 | 2 | yes | — |
| 646 | C2×C4 | #67040 | 1 | 2 | yes | — |
| 647 | C2×C4 | C24×D11 | 1 | 1 | yes | characteristic |
| 648 | C8 | — | 2 | 2 | no | — |
| 649 | C8 | — | 22 | 1 | no | — |
| 650 | C8 | — | 22 | 1 | no | — |
| 651 | C8 | — | 22 | 2 | no | — |
| 652 | C8 | C2×Q8×D11 | 1 | 2 | yes | — |
| 653 | C8 | C2×Q8×D11 | 1 | 2 | yes | — |
| 654 | C22 | — | 2 | 1 | no | — |
| 655 | C22 | — | 2 | 1 | no | — |
| 656 | C22 | #10623258 | 1 | 2 | yes | — |
| 657 | C22 | C22×D4×D11 | 1 | 1 | yes | characteristic |
| 658 | C4 | — | 2 | 2 | no | — |
| 659 | C4 | — | 2 | 2 | no | — |
| 660 | C4 | — | 4 | 2 | no | — |
| 661 | C4 | — | 4 | 4 | no | — |
| 662 | C4 | — | 4 | 2 | no | — |
| 663 | C4 | — | 11 | 2 | no | — |
| 664 | C4 | — | 22 | 8 | no | — |
| 665 | C4 | — | 22 | 1 | no | — |
| 666 | C4 | — | 22 | 2 | no | — |
| 667 | C4 | — | 22 | 1 | no | — |
| 668 | C4 | — | 22 | 1 | no | — |
| 669 | C4 | — | 22 | 2 | no | — |
| 670 | C4 | — | 44 | 2 | no | — |
| 671 | C4 | — | 44 | 2 | no | — |
| 672 | C4 | #10623258 | 1 | 2 | yes | — |
| 673 | C4 | C22×Q8×D11 | 1 | 1 | yes | characteristic |
| 674 | C4 | C2×#67040 | 1 | 1 | yes | characteristic |
| 675 | C2 | — | 2 | 2 | no | — |
| 676 | C2 | C2×#10623258 | 1 | 1 | yes | characteristic |
| 677 | C2 | D11×#578 | 1 | 1 | yes | characteristic |
| 678 | C2 | #13083384 | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta